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3543987278961 = 324120261474029
BaseRepresentation
bin110011100100100110000…
…110100101010001110001
3110112210122120022021122200
4303210212012211101301
5431031041220411321
611312030230453413
7514021210556313
oct63444606452161
913483576267580
103543987278961
111146aa6477988
12492a22204269
131c9272b1969c
14c375c0897b3
15622c1e1ed26
hex339261a5471

3543987278961 has 24 divisors (see below), whose sum is σ = 5244218539560. Its totient is φ = 2304913747200.

The previous prime is 3543987278903. The next prime is 3543987278987. The reversal of 3543987278961 is 1698727893453.

3543987278961 is a `hidden beast` number, since 3 + 5 + 439 + 87 + 27 + 8 + 96 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102220238961 + 3441767040000 = 319719^2 + 1855200^2 .

It is not a de Polignac number, because 3543987278961 - 225 = 3543953724529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3543987278961.

It is not an unprimeable number, because it can be changed into a prime (3543987278761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7239295 + ... + 7713323.

It is an arithmetic number, because the mean of its divisors is an integer number (218509105815).

Almost surely, 23543987278961 is an apocalyptic number.

It is an amenable number.

3543987278961 is a deficient number, since it is larger than the sum of its proper divisors (1700231260599).

3543987278961 is a wasteful number, since it uses less digits than its factorization.

3543987278961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494337 (or 494334 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 3543987278961 in words is "three trillion, five hundred forty-three billion, nine hundred eighty-seven million, two hundred seventy-eight thousand, nine hundred sixty-one".

Divisors: 1 3 9 41 123 369 20261 60783 182349 474029 830701 1422087 2492103 4266261 7476309 19435189 58305567 174916701 9604301569 28812904707 86438714121 393776364329 1181329092987 3543987278961